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Finding the Fourth Proportional to 83,003.46, 114,533.22 and 47,189.52

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Solution

The fourth proportional to 83,003.46, 114,533.22 and 47,189.52 is: 65,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,003.46 : 114,533.22 = 47,189.52 : x
  2. Step 2: Convert to fraction form
    83,003.46/114,533.22 = 47,189.52/x
  3. Step 3: Cross multiply
    83,003.46x = 114,533.22 × 47,189.52
  4. Step 4: Simplify right side
    83,003.46x = 5,404,767,103.19
  5. Step 5: Solve for x
    x = 5,404,767,103.19/83,003.46
  6. Step 6: Final answer
    x = 65,114.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.